SOLUTION: 4. A rectangular light-switch plate is made according to the following dimensions. The length is 7 inches, and the width is 5.5 inches; a rectangular hole measuring 1.2 inches by 0
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Question 170270: 4. A rectangular light-switch plate is made according to the following dimensions. The length is 7 inches, and the width is 5.5 inches; a rectangular hole measuring 1.2 inches by 0.3 inches is left in the center. (See diagram below) (a) How many square inches in area is the light-switch plate (the shaded region)? (b) If the cost to construct the plate is $4.27 per square inch, what is the construction cost?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
Total square inches of the area would be
:
7 (5.5)=38.5 sq in
:
but we must subtract out the middle portion of 1.2 inches by .3 inches in order to get the light switch area.
:
1.2 (3)=3.6 sq in
:
38.5-3.6=34.9 sq in. at a cost of $4.27 a sq in would be
:
34.9 (4.27)=$ 149.02
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